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Finding the Fourth Proportional to 9,975.14, 13,765.05 and 5,498.64

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Solution

The fourth proportional to 9,975.14, 13,765.05 and 5,498.64 is: 7,587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.14 : 13,765.05 = 5,498.64 : x
  2. Step 2: Convert to fraction form
    9,975.14/13,765.05 = 5,498.64/x
  3. Step 3: Cross multiply
    9,975.14x = 13,765.05 × 5,498.64
  4. Step 4: Simplify right side
    9,975.14x = 75,689,054.53
  5. Step 5: Solve for x
    x = 75,689,054.53/9,975.14
  6. Step 6: Final answer
    x = 7,587.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.